SQUEEZING IN THE JAYNES-CUMMINGS MODEL FOR LARGE COHERENT FIELDS

We use the recently-established asymptotic solution (AS) for large fie lds to study squeezing in the Jaynes-Cummings model. Arbitrary initial atomic states (including atomic coherence) are considered. We find th at most features of squeezing can be understood from the properties of the asymptotic field states, and from the observation, which we estab lish numerically, that for large fields the interference between the t wo branches of the wavefunction does not contribute significantly to t he squeezing (not even near the revival times, when the two field stat es being superposed have very nearly the same phase). We obtain a limi t on the time over which the field may show any squeezing and find tha t it scales as the 3/4 power of the number of photons. We also obtain a bound on the maximum achievable squeezing for a given number of phot ons, which is an improvement over earlier estimates. Finally, we discu ss some of the shortcomings of the AS, and in particular the existence of a small ghost peak in the field and function for initial condition s where the AS predicts a single peak, which is enough to destroy the squeezing for certain times.